To find the area of the figure, let's break it down into the components mentioned: rectangles and triangles. It appears there might be some confusion in the description, as you've stated the shapes are rectangles but mentioned dimensions that might imply triangles. Let’s clarify the areas of the shapes based on what you've provided:
Area of Rectangle 1:
- Dimensions: 4 in by 2 in
- Area = Length x Width = 4 in * 2 in = 8 in²
Area of Rectangle 2:
- Dimensions: 2 in by 4 in
- Area = Length x Width = 2 in * 4 in = 8 in²
Area of Rectangle 3:
- Dimensions: Width of 2 in and Height of 4 in
- Area = Length x Width = 2 in * 4 in = 8 in²
Now, if there are triangles to be accounted for, we'll need their base and height. However, based on the provided dimensions, it doesn’t seem like there's enough information to calculate the area of any triangles since none were specified.
Assuming you meant to include only the rectangles, the total area would be:
Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3
\[ \text{Total Area} = 8 \text{ in}² + 8 \text{ in}² + 8 \text{ in}² = 24 \text{ in}² \]
So, based on the rectangle areas, the total area is:
\[ A = 24 \text{ in}² \]
If you have information on specific triangles or need to adjust which shapes should be included, please clarify that as well!